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Finding the Fourth Proportional to 736.24, 1,015.17 and 470.32

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Solution

The fourth proportional to 736.24, 1,015.17 and 470.32 is: 648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.24 : 1,015.17 = 470.32 : x
  2. Step 2: Convert to fraction form
    736.24/1,015.17 = 470.32/x
  3. Step 3: Cross multiply
    736.24x = 1,015.17 × 470.32
  4. Step 4: Simplify right side
    736.24x = 477,454.75
  5. Step 5: Solve for x
    x = 477,454.75/736.24
  6. Step 6: Final answer
    x = 648.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.